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Math Help - Standard Form Q

  1. #1
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    Standard Form Q

    N = (3.2 * 10^p) * (4.5*10^q)
    where p and q are integers. Express N in terms of p and q.
    Give your answer in standard form
    How?

    I tried 14.4 * 10^(p+q)

    but that is not right.
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  2. #2
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    Quote Originally Posted by jsmith613 View Post
    N = (3.2 * 10^p) * (4.5*10^q)
    where p and q are integers. Express N in terms of p and q.
    Give your answer in standard form
    How?

    I tried 14.4 * 10^(p+q)

    but that is not right.
    Do you mean the standard form of scientific notation? If so I would use

    N = 1.44 \cdot 10^{1+p+q}
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  3. #3
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    why 1 + p + q, where do you get the +1
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  4. #4
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    Quote Originally Posted by jsmith613 View Post
    N = (3.2 * 10^p) * (4.5*10^q)
    ...
    Quote Originally Posted by jsmith613 View Post
    why 1 + p + q, where do you get the +1
    N = (3.2 \cdot 10^p) \cdot (4.5 \cdot 10^q) = 3.2 \cdot 4.5 \cdot 10^p \cdot 10^q = 14.4 \cdot 10^p \cdot 10^q = 1.44 \cdot 10^1 \cdot 10^p \cdot 10^q = \boxed{1.44 \cdot 10^{1+p+q}}
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